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Asymptotic Stability of Differential Equations with Infinite Delay [PDF]
A theorem on asymptotic stability is obtained for a differential equation with an infinite delay in a function space which is suitable for the numerical computation of the solution to the infinite delay equation.
D. Piriadarshani, T. Sengadir
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On linear Volterra difference equations with infinite delay [PDF]
Linear neutral, and especially non-neutral, Volterra difference equations with infinite delay are considered and some new results on the behavior of solutions are established.
Philos Ch G, Purnaras IK
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Viability for Semilinear Differential Equations with Infinite Delay [PDF]
Let X be a Banach space, A : D ( A ) ⊂ X → X the generator of a compact C 0 -semigroup S ( t ) : X → X , t ≥ 0 , D ( · ) : ( a , b ) → 2 X a tube in X, and f : ( a , b ) × B → X a function of Carathéodory type.
Qixiang Dong, Gang Li
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On the dynamics of equations with infinite delay
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Pražák Dalibor
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Semilinear functional difference equations with infinite delay
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Miguel Frasson +2 more
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Stability of impulsive infinite delay differential equations
Using new Lyapunov functions technique developed by Shunian Zhang the authors study the stability for impulsive differential equations with infinite delays. Some known results are improved.
Yu Zhang, Jitao Sun
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C^k invariant manifolds for infinite delay
For a non-autonomous delay difference equation with infinite delay, we construct smooth stable and unstable invariant manifolds for any sufficiently small perturbation of an exponential dichotomy.
Luis Barreira, Claudia Valls
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On Nonlinear Neutral Fractional Integrodifferential Inclusions with Infinite Delay [PDF]
Of concern is a class of nonlinear neutral fractional integrodifferential inclusions with infinite delay in Banach spaces. A theorem about the existence of mild solutions to the fractional integrodifferential inclusions is obtained based on Martelli’s ...
Fang Li, Ti-Jun Xiao, Hong-Kun Xu
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This research delves into the field of fractional differential equations with both non-instantaneous impulses and delay within the framework of Banach spaces.
Abdellatif Benchaib +3 more
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The main concern of this manuscript is to study the optimal control problem for Hilfer fractional neutral stochastic integrodifferential systems with infinite delay.
Murugesan Johnson, Velusamy Vijayakumar
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